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Regular orbits of finite primitive solvable groups, the final classification
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Holt, Derek and Yang, Yong (2023) Regular orbits of finite primitive solvable groups, the final classification. Journal of Symbolic Computation, 116 . pp. 139-145. doi:10.1016/j.jsc.2022.08.019 ISSN 0747-7171.
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Official URL: http://dx.doi.org/10.1016/j.jsc.2022.08.019
Abstract
Suppose that a finite solvable group G acts faithfully, irreducibly and quasi-primitively on a finite vector space V, and G is not metacyclic. Then G always has a regular orbit on V except for a few “small” cases. We completely classify these cases in this paper.
Item Type: | Journal Article | ||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||
Library of Congress Subject Headings (LCSH): | Group theory , Solvable groups, Linear algebraic groups | ||||||||||
Journal or Publication Title: | Journal of Symbolic Computation | ||||||||||
Publisher: | Elsevier Science Ltd. / Academic Press Ltd. | ||||||||||
ISSN: | 0747-7171 | ||||||||||
Official Date: | May 2023 | ||||||||||
Dates: |
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Volume: | 116 | ||||||||||
Page Range: | pp. 139-145 | ||||||||||
DOI: | 10.1016/j.jsc.2022.08.019 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||
Copyright Holders: | Elsevier | ||||||||||
Date of first compliant deposit: | 25 October 2022 | ||||||||||
RIOXX Funder/Project Grant: |
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Open Access Version: |
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